λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,930
42,930
2 × 34 × 5 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 117,612
Proper Divisor Sum 74,682
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #42929 ← → #42937

Radix Representation

Decimal 42930
Binary 1010011110110010 (16 bits)
Octal 0o123662
Hexadecimal 0xA7B2

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1,431 1,590 2,385 2,862 4,293 4,770 7,155 8,586 14,310 21,465 42,930

Collatz Trajectory (75 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

42,930 21,465 64,396 32,198 16,099 48,298 24,149 72,448 36,224 18,112 9,056 4,528 2,264 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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